Wen Yuan

collaborators

5 papers

math.FA2026

Weak-type characterizations of Sobolev and bounded variation spaces on metric measure spaces

Tuomas P. Hytönen, Dachun Yang, Wen Yuan +1

Given a complete doubling metric measure space $(X, ρ, μ)$ supporting a Poincaré inequality, we prove weak-type characterizations of the Sobolev space $W ˙^{1, p} (μ)$ and the spac…

math.CA2026

Real-Variable Characterizations and Their Applications of Anisotropic Besov Spaces with Matrix $A_{\infty}$ Weights

Fan Bu, Shuaijun Feng, Qingying Xue +2

Let $α \in R$ , $p \in (0, \infty)$ , and $q \in (0, \infty]$ . In this article, we develop a theory of matrix-weighted anisotropic Besov spaces associated with an expansive matrix $…

math.CA2026

Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target Spaces

Pingxu Hu, Yinqin Li, Dachun Yang +1

We establish two pointwise estimates for fractional difference operators, tracking explicitly the dependence of the constants on the smoothness index $s \in (0, 1)$ . Using these, with…

math.CA2026

Optimal Weak-Type Estimates and Their Applications of Lifted Rough Maximal Operators

Dachun Yang, Wen Yuan, Yirui Zhao

Let $n \in N \cap [2, \infty)$ and $Ω \in L^{1} (S^{n - 1})$ with $Ω \neq \equiv 0$ . In this article, we introduce a new family of lifted rough maximal operators $\{\mathcal{M}_…

math.FA2025

Besov--Triebel--Lizorkin-Type Spaces with Matrix $A_{\infty}$ Weights

Fan Bu, Tuomas Hytönen, Dachun Yang +1

Introduced by A. Volberg, matrix $A_{p, \infty}$ weights provide a suitable generalization of Muckenhoupt $A_{\infty}$ weights from the classical theory. In our previous work, we esta…

Weak-type characterizations of Sobolev and bounded variation spaces on metric measure spaces

Real-Variable Characterizations and Their Applications of Anisotropic Besov Spaces with Matrix A∞​ Weights

Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target Spaces

Optimal Weak-Type Estimates and Their Applications of Lifted Rough Maximal Operators

Besov--Triebel--Lizorkin-Type Spaces with Matrix A∞​ Weights

Real-Variable Characterizations and Their Applications of Anisotropic Besov Spaces with Matrix $A_{\infty}$ Weights

Besov--Triebel--Lizorkin-Type Spaces with Matrix $A_{\infty}$ Weights